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arXiv 0707.4589hep-ph
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赝标介子和八重态重子上强子光生总截面的求和规则

Sum Rules for Total Cross-Sections of Hadron Photo-Production on Pseudoscalar Mesons and Octet Baryons

E. Bartos, S. Dubnicka, A. Z. Dubnickova, E. A. Kuraev

摘要:

考虑强子态X的产生沿初始强子方向移动的高能电子-强子散射,导出了DIS过程的q^2相关微分截面之差与强子光生截面之差的收敛积分的Weizsäcker-Williams式.然后,利用前向推迟康普顿散射振幅在同一强子上的解析性质,首先导出了求和定则,将强子电磁形状因子与DIS的q^2相关微分截面之差联系起来,然后使用Weizsäcker-Williams的近似表达式,并根据${\bf q^2}$对${\bf q^2} \to 0$取两边的导数,得到了新的普适强子和规则强子静态参数对强子光生总截面之差的收敛积分的影响。

英文摘要:

Considering very high energy peripheral electron-hadron scattering with a production of hadronic state X moving closely to the direction of initial hadron the Weizsäcker-Williams like expression, relating the difference of q^2-dependent differential cross-sections of DIS processes to the convergent integral over the difference of the total hadron photo-production cross-sections on hadros, is derived. Then, exploiting analytic properties of the forward retarded Compton scattering amplitude on the same hadrons, first, the sum rules are derived bringing into relation hadron electromagnetic form factors with the difference of the q^2-dependent differential cross-sections of DIS, then using Weizsäcker-Williams like expression and taking the derivative of both sides according to ${\bf q^2}$ for ${\bf q^2} \to 0$ one comes to new universal hadron sum rules relating hadron static parameters to the convergent integral over the difference of the total hadron photo-production cross-sections on hadrons.

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